Steady-state quantum Zeno effect of driven-dissipative bosons with dynamical mean-field theory

Matteo Seclì^1,2, Massimo Capone^1,3, and Marco Schirò^4,5
Phys. Rev. A 106, 013707 (2022) – Published 12 July 2022
Also available on: arXiv
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Abstract

We study a driven-dissipative Bose-Hubbard model in the presence of two-particle losses and an incoherent single-particle drive on each lattice site, leading to a finite-density stationary state. Using dynamical mean-field theory (DMFT) and an impurity solver based on exact diagonalization of the associated Lindbladian, we investigate the regime of strong two-particle losses. Here a stationary-state quantum Zeno effect emerges, as can be seen in the on-site occupation and spectral function. We show that DMFT captures this effect through its self-consistent bath. We show that, in the deep Zeno regime, the bath structure simplifies, with the occupation of all bath sites except one becoming exponentially suppressed. As a result, an effective dissipative hard-core Bose-Hubbard dimer model emerges, where the auxiliary bath site has single-particle dissipation controlled by the Zeno dissipative scale.

PACS: 03.65.Vf, 42.60.Da, 42.65.Sf, 73.43.-f

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1. International School for Advanced Studies (SISSA), Via Bonomea 265, I-34136 Trieste, Italy ↩ ↩²

2. Now at Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, California 94720, USA ↩

3. CNR-IOM Democritos, Via Bonomea 265, I-34136 Trieste, Italy ↩

4. JEIP, USR 3573 CNRS, Collége de France, PSL Research University, 11 Place Marcelin Berthelot, 75321 Paris Cedex 05, France ↩

5. On leave from Institut de Physique Théorique, Université Paris Saclay, CNRS, CEA, F-91191 Gif-sur-Yvette, France. ↩